Generalized Einstein or Green-Kubo relations for active biomolecular transport

TL;DR

This paper derives generalized Einstein and Green-Kubo relations for active biomolecular transport, linking response functions to current correlations in driven Markovian systems, applicable even far from equilibrium.

Contribution

It introduces a unified framework for response relations in biomolecular systems based on local detailed balance and current correlations.

Findings

Response relations expressed via current-current correlations

Applicable to systems operating far from equilibrium

Provides a theoretical basis for analyzing biomolecular transport

Abstract

For driven Markovian dynamics on a network of (biomolecular) states, the generalized mobilities, i.e., the response of any current to changes in an external parameter, are expressed by an integral over an appropriate current-current correlation function and thus related to the generalized diffusion constants. As only input, a local detailed balance condition is required typically even valid for biomolecular systems operating deep in the non-equilibrium regime.